The x- and y-intercept values in the graph for the function f and in the table for the function g(x), indicates that the correct option is option C
C. The have different x- and y-intercepts but the same end behavior as x approaches ∞What are the x- and y-intercept of a graph of a function?The x-intercept is the point at which the y-value is 0, and the coordinates of the point is specified as the x-intercept.
The x-intercept is the point at which the x-value is 0, and the coordinates of the point is specified as the y-intercept
The question compares the x- and y-intercepts of the graph and the function in the table
The x-intercept of the function f in the graph are; (0, 3)
The y-intercept of the function f in the graph are; (4, 0)
The function g(x) in the table indicates that the x- and y-intercepts are;
The value of g(x) is 0 at the ordered pair (1, 0), therefore, the x-intercept of g(x) is (1, 0)
The value of x is 0 at the ordered pair (0, 4), therefore, the function, g(x) has a y-intercept at the point (0, 4)
Therefore, the function f and g have different intercepts, but the value in the table and the graph indicates that as x approaches infinity, the y-value, approaches -1, the correct option is therefore, option C
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About 90% of American adults had chickenpox before adulthood. We now consider a random sample of 150 American adults I only need help with B) and c) part of this question. a) How many people in this sample would you expect to have had chickenpox in their childhood? (Enter your answer as a whole number.) b) Would you be surprised if there were 132 people who have had chickenpox in their childhood? (Round your answer to two decimal places.) Since z = ?c) What is the probability that 132 or fewer people in this sample have had chickenpox in their childhood?
Answer:
a) We expect to have 135 people to have had chickenpox in their childhood.
b) No, I would not be surprised, as the probability is not low.
z = -0.6812
c) P(X≤132)=0.248
Step-by-step explanation:
a) This is a binomial random variable, with n=150 and p=0.9, so we can calculate the expected value as:
\(E(X)=np=150\cdot 0.9=135\)
b) To answer this we can calculate the probability that 132 people or fewer have had chickenpox in their childhood.
This binomial random variable can be approximated by a normal distribution, with the following parameters:
\(\mu=np=150\cdot 0.9=135\\\\\sigma=\sqrt{np(1-p)}=\sqrt{150\cdot 0.9\cdot 0.1}=\sqrt{13.5}=3.67\)
To calculate the probability that 132 people or fewer have had chickenpox in their childhood we compute the z-score for X=132.5 (as we apply the continuity factor) and calculate the probability using the standard normal distribution:
\(z=\dfrac{X-\mu}{\sigma}=\dfrac{132.5-135}{3.67}=\dfrac{-2.5}{3.67}=-0.6812\\\\\\P(X<132.5)=P(z<-0.6812)=0.248\)
Volume = 1000 yd3
Find the length of a single side for each cube
Answer:
s = 10
Step-by-step explanation:
Brainliest plz! :D
What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10
Answer:
3
Step-by-step explanation:
You want the mean absolute deviation of the set of numbers ...
{9, 2, 9, 9, 5, 4, 9, 1, 4, 10}
MADThe mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.
The attachment shows those calculations.
The MAD of this set of data is 3.
__
Additional comment
The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.
When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)
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Three workers worked for 5 hours, 7 hours and 12 hours. The total wage of $
13200 was divided among the three workers according to the number of hours of
work they did. How much did each get?
Answer:
Worked 5 hours: $550
Worked 7 hours: $2,750
Worked 12 hours: $6,600
Step-by-step explanation:
5+7+12=24
13200/24 = 550
(5)*(550) = 2,750
(7)*(550) = 3,850
(12)*(550) = 6,600
I’m stuck, I can’t figure it outs
Answer:
Step-by-step explanation:
expression 30+x will calculate the money I will have in my wallet at the end of the day after being paid to work as a coach, given that I already have $30 in my wallet
x-is the amount of money I will make today
please help answer ASAP will mark brainlyest
ANSWER 92°
REMEMBER! angles in a triangle add up to 180°
this means that:
(x) + (3x + 13) + (x - 8) = 180
5x + 5 = 180
5x = 175
therefore x = 35
now that we know x, we can apply this to work out the angle mentioned, the angle a:
A = 3(35) - 13
= 92°
ΔLMN ≅ ΔRST, m∠R = 65°, and m∠M = 70°, what is the measure of ∠T? Numbers only.
Answer:
45
Step-by-step explanation:
Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.
Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ
For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.
What is triangle?
A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.
Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:
Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.
∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.
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The table represents a quadratic function. Write an equation of the function in standard form.
-9-7-5-3
0 8 8
X
y
y=0
Previous
1 2
0
30
4
32
5
6
7
10
Next
The quadratic equation is of the form y = ax² + bx + c
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree just 2, or simply known as a quadratic.
x is the only variable. A parabola with its axis of symmetry parallel to the y-axis represents the graph of a univariate quadratic function, as seen to the right.A quadratic equation is produced if the quadratic function is set to zero. The roots of an univariate function are the solutions to the univariate equation.When authors speak to a quadratic polynomial, they may mean "having degree exactly 2" or "having degree at most 2". If the degree is less than 2, this scenario may be referred to as a "degenerate case." Which of the two is intended will typically depend on the context.In some circumstances, like in the instance of a second-order polynomial, the word "order" is used to denote "degree." The word "degree of a polynomial" refers to the highest degree of a non-zero term in a polynomial, whereas the term "order" typically refers to the lowest degree of a non-zero term in a power series.Complete question: The table represents a quadratic function. Write an equation of the function in standard form.
\($$\begin{array}{lllll}x & -9 & -7 & -5 & -3\end{array}$$$\begin{array}{lllll}y & 0 & 8 & 8 & 0\end{array}$\)
y=
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HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!
Which is the graph of the function g(x)=−x^2−4x−1?
Answer:
its a, the first one
Step-by-step explanation:
i graphed it have a good day (:
Write an equation that models the linear situation:
A fitness club charges $5 for each class in addition to $150 for the year’s membership.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
n = number of fitness classes attended
C(n) = total cost of fitness club, including classes, for the year (dollars)
Question 2
Write an equation that models the linear situation:
A car rental company charges 5 cents per mile in addition to the base fee of $20.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
m = distance the rental car has been driven (miles)
C(m) = total cost of renting a car (dollars)
Question 3
Write an equation that models the linear situation:
A train starts a trip and it travels at a steady (average) speed of 70 miles per hour.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
t = time traveled (hours)
d(t) = distance traveled (miles)
Write an equation that models the linear situation:
A diver that was 300 feet below the surface of the ocean rises towards the surface 30 feet every minute.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
t = amount of time the diver rises towards the surface (minutes)
L(t) = sea-level position of the diver (feet)
The linear functions for each case are given as follows:
1. C(n) = 5n + 150.
2. C(m) = 0.05m + 20.
3. L(t) = 30t - 300.
What is a linear function?A linear function, in slope-intercept format, is given by:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).For each item in this problem, we have that the meaning of the coefficients is explained as follows:
The rate per class/mile/rise represents the slope.The initial fees or the initial position represents the intercept.Hence the functions are given as follows, considering the stated variables:
1. C(n) = 5n + 150.
2. C(m) = 0.05m + 20. (5 cents = $0.05).
3. L(t) = 30t - 300. (300 feet below the surface is represented by a negative value, while a rise is represented by a positive value).
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the order of the element a in the factor group g/h is the smallest positive integer n such that a^n is
The order of the element a in the factor group g/h is the smallest positive integer n such that a^n is in the subgroup h.
In mathematics, the concept of a group is used to describe a set of elements with a binary operation that satisfies certain properties. The binary operation could be addition, multiplication, or some other operation.
In other words, the order of an element a in a factor group g/h is the smallest number n such that when the element a is multiplied by itself n times, the result is an element in the subgroup h.
The order of an element provides information about the cyclic structure of the group and can be used to determine important properties of the group, such as its structure and size.
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Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
whoever answers this correctly gets brainliest
Show work: Factor 2x^2 + 5x - 3
Answer:
(2x-1)(x+3)
Step-by-step explanation:
2x(x+3)-1(x+3)
(2x-1)(x+3)
Answer:
(x + 1) (2 x + 3)
Step-by-step explanation:
Write the middle term as + 5 x = 2 x + 3 x
And factor by grouping:
2 x^2 + 2 x + 3 x - 3
2 x (x + 1) + 3 (x + 1)
(x + 1) (2 x + 3)
Select the correct answer
What is the degree of the polynomial R(x) = 7x5 - 9X4 - 2x + 3x - x + 7?
Give the equation of the horizontal line through the point (3,5)
Answer:
y=5 would be the equation
Step-by-step explanation:
when the line is horizontal you would take the y coordinate of the coordinate given to you and put that into y=n with n being the value of the y coordinate
if the line were vertical you would take the x coordinate of the coordinate given to you and put that into x=n with n being the value of the y coordinate
one - step equation
-104 = 8x
please help I don't know and I have tried for an hour now.
Answer:
\( - 104 = 8x \\ x = \frac{ - 104}{8} \\ x = - 13 \\ thank \: you\)
Answer:
\(\boxed {\boxed {\sf x= -13}}\)
Step-by-step explanation:
We are asked to solve the following one-step equation.
\(-104 = 8x\)
We solve the equation by solving for x. We must isolate the variable by performing the inverse operation.
x is being multiplied by 8 (8x = 8*x). The inverse operation of multiplication is division. Divide both sides of the equation by 8. This eliminates the 8 on the right side of the equation so only x remains.
\(\frac {-104}{8}= \frac{8x}{8}\)
\(\frac {-104}{8}= x\)
\(-13=x\)
We can check our answer by substituting it back into the original equation.
\(-104= 8x\)
\(-104= 8(-13)\)
\(-104= -104\)
This checks out, so we know our answer is correct and x is equal to -13.
NO LINKS!!
Use the properties of exponents to determine which functions (if any) are the same.
f(x)= 3^x + 11
g(x) = 2^(3x+5)
h(x)= 32(8^x)
a. f(x) = g(x)
b. f(x) = h(x)
c. g(x)=h(x)
d. All three functions are equal
e. None of the functions are equal
Answer:
c. g(x) = h(x)
Step-by-step explanation:
Given functions:
\(f(x) = 3^x+11\)
\(g(x)=2^{3x+5}\)
\(h(x)=32(8^x)\)
Rewrite function g(x) using exponent rules.
\(\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:\)
\(\implies g(x)=2^{3x} \cdot 2^5\)
\(\implies g(x)=2^{3x} \cdot 32\)
\(\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:\)
\(\implies g(x)=(2^3)^{x} \cdot 32\)
\(\implies g(x)=8^{x} \cdot 32\)
\(\implies g(x)=32(8^{x})\)
Therefore, g(x) = h(x).
find the sum of the series. make sure you use the formula and show your work for credit.
please help me I didn't get this at all!
Answer:
The sum of the series is 260.
------------------------
Each term of given series is expressed as:
tₙ = 3n - 1This is an arithmetic progression with 13 terms and the first and last terms are:
t₁ = 3*1 - 1 = 2t₁₃ = 3*13 - 1 = 38Use the sum of the first terms of AP formula:
Sₙ = (t₁ + tₙ)*n/2S₁₃ = (2 + 38)*13/2 = 40*13/2 = 20*13 = 260Answer:
The sum of the series is 260.
Step-by-step explanation:
\(\displaystyle \sum^{13}_{n=1}(3n-1)\)
The given sigma notation means:
Sum of the series with nth term (3n - 1), starting with n = 1 and ending with n = 13.As (3n - 1) is linear, the series is arithmetic.
The first term (n = 1) is:
a₁ = 3(1) - 1 = 2The second term (n = 2) is:
a₂ = 3(2) - 1 = 5The third term (n = 3) is:
a₃ = 3(3) - 1 = 8… and the last term (n = 13) is:
a₁₃ = 3(13) - 1 = 38Therefore, we need to find 2 + 5 + 8 + ... + 38.
Since we know that the first term, a, is 2, the last term, l, is 38, and the common difference, d, is 3, we can use the sum of the first n terms formula to calculate the sum of the series of the first 13 terms.
\(\begin{aligned}\text{Using:} \quad S_{n}&=\dfrac{1}{2}n(a+l)\\\\\implies S_{13}&=\dfrac{1}{2}(13)(2+38)\\\\&=\dfrac{1}{2}(13)(40)\\\\ &=\dfrac{520}{2}\\\\&=260\end{aligned}\)
Therefore, the sum of the series is 260.
Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis
Before the election, you want to determine the number of possible president/vice-president combinations for the honor society you belong to. If both positions are chosen from ten people, how many combinations are possible?
90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.
i give brainlilset nxgbkj,m.d/ed
q
The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?
Answer:
0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.
Answer:
2.5 mg
Step-by-step explanation:
.05 mg / kg * 50 kg = 2.5 mg
line m has a slope of 2/5 line n is parallel to line m what is the slope of the line n
Answer:
no yes also
Step-by-step explanation:
fkelcan,.bex
if sample of size 40 and sampl of size 10, sample mean from larger sample closer to to true popuation is?
Yes,The law of large number says that if you take sample of larger and larger size forming population than the mean of the sampling distribution u-x tend to get closer to true population.
What is the relationship between sample size and sample mean?As a sample size increases, the sample mean and standard deviation will be closer in value to the population mean μ and standard deviation σ.Very large samples tend to transform small differences into statistically significant differences.
How do you find the sample size for a sample mean?There are following steps for finding sample mean
Add up the sample items. Firstly we will need to count how many sample items you have within a data set and add up the total amount of items.
Divide sum by the number of samples.
The result is the mean.
Use the mean to find the variance.
Use the variance to find the standard deviation.
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First, determine if the three side lengths could form a triangle. (Recall from earlier, the sum of the two smaller sides must be greater than the third side). If yes, classify the triangle further as acute, right, or obtuse.17 ,1712 , Not a triangle
acute
right
obtuse
The triangle of given dimensions is isosceles and acute triangle.
Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.
Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -
side 1 + side 2> side 3
We see that 17 + 17 > 12
34 > 12
Thus, the triangle will form.
Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.
Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.
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ƒ(t) = –1∕2t2 + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
How to explain the functionThe given function is Ƒ(t) = –1/(2t²) + 2t + 6.
This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.
Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.
So, the function Ƒ(t) can be written as:
Ƒ(t) = (-1/2)t² + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
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